Synchronization of non-identical fractional order hyperchaotic systems using active control

Abstract

The problem of synchronization between non-identical hyperchaotic fractional order systems is discussed in this article. We use the method of active control to synchronize the chaotic trajectories. To illustrate the proposed theory, we consider two particular examples of synchronization in fractional order hyperchaotic systems viz. Rossler system with new system and Chen system with Lü system. The active control terms are chosen properly so as the errors in synchronization become zero after small duration of time. It is observed that the synchronization time decreases with increase in fractional order.